An electron is fired into one end of the solenoid in Figure P28.66. Viewed along the positive

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An electron is fired into one end of the solenoid in Figure P28.66. Viewed along the positive \(x\) axis from a negative \(x\) coordinate, the electron enters from below at a \(65^{\circ}\) angle to the horizontal, just inside the bottom edge of the solenoid. From this viewpoint the solenoid carries a 10-A clockwise current. The solenoid is made from a \(33.0-\mathrm{m}\) length of wire, and it has 400 turns along the \(200-\mathrm{mm}\) length shown in the figure.

(a) Ignoring end effects, what is the smallest time interval required for the electron to pass through the solenoid without striking the coils?

(b) If the electron follows the quickest path through the solenoid as determined from the time interval you calculated in part \(a\), how many revolutions does the electron's path make around the solenoid axis?

Data from  Figure P28.66

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